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3. Two new drugs were given to patients with heart disease. The first drug lowered the

blood pressure of sixteen patients an average of 11 points, with a standard deviation

of 6 points. The second drug lowered the blood pressure of fourteen other patients an

average of 12 points, with a standard deviation of 8 points. Determine a 98% con-

fidence interval for the difference in the mean reductions in blood pressure, assuming

that the measurements are normally distributed with equal variances. Explain if either

of these drugs is more effective at reducing blood pressure.